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VOL. 16 | 1988 Null Field Construction in Conformal and Superconformal Algebras
Mitsuhiro Kato, Satoshi Matsuda

Editor(s) M. Jimbo, T. Miwa, A. Tsuchiya

Abstract

We present the vertex operator construction of null fields (singular vertex operators) based on the oscillator representation of conformal and superconformal algebras with central charge extention. As a consequence of the null field construction we determine the degenerate highest weights and prove the corresponding Kac determinant formulae for the conformal ($N=0$) and superconformal ($N=1, 2$) algebras with $N$ supercharges. We also present an explicit construction of spin fields in the $N=1$ oscillator representations of the Neveu–Schwarz and Ramond algebras with extended central charges.

Information

Published: 1 January 1988
First available in Project Euclid: 17 June 2018

zbMATH: 0657.17012
MathSciNet: MR972995

Digital Object Identifier: 10.2969/aspm/01610205

Rights: Copyright © 1988 Mathematical Society of Japan

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